研究了一类特殊的幂零n-Lie代数,其所有导子都是幂零的,称其为特征幂零n-Lie代数.本文主要是得到了一般的n-Lie代数是特征幂零n-Lie代数的一些充要条件.%We investigate the n-Lie algebras all whose derivations are nilpotent, which constitute a subclass of nilpotent n-Lie algebras called characteristically nilpotent. We obtain, as the main results of our article, several necessary and sufficient conditions for an n-Lie algebra being characteristically nilpotent.
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